IDEAS home Printed from https://ideas.repec.org/p/tiu/tiucen/45e45888-e926-476c-a66b-797d2225cf49.html
   My bibliography  Save this paper

Existence of Equilibrium and Price Adjustments in a Finance Economy with Incomplete Markets

Author

Listed:
  • Talman, A.J.J.

    (Tilburg University, Center For Economic Research)

  • Thijssen, J.J.J.

    (Tilburg University, Center For Economic Research)

Abstract

In this paper, several problem reduction techniques are discussed that can be used to reduce the solution time of set partitioning problems. These techniques can be applied in any solution algorithm for set partitioning problems. Besides a short review of the existing literature on preprocessing set partitioning problems, we also present several new techniques. The value of these techniques is illustrated by various computational experiments.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Talman, A.J.J. & Thijssen, J.J.J., 2003. "Existence of Equilibrium and Price Adjustments in a Finance Economy with Incomplete Markets," Discussion Paper 2003-79, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:45e45888-e926-476c-a66b-797d2225cf49
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/546321/79.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dai, Y. & Talman, D., 1990. "Linear Stationary Point Problems On Unbounded Polyhedra," Papers 9067, Tilburg - Center for Economic Research.
    2. Talman, A.J.J. & Yamamoto, Y., 1989. "A simplicial algorithm for stationary point problems on polytopes," Other publications TiSEM 0d6b2de0-17c0-4d5e-963f-5, Tilburg University, School of Economics and Management.
    3. Dai, Y. & van der Laan, G. & Talman, A.J.J. & Yamamoto, Y., 1989. "A simplicial algorithm for the nonlinear stationary point problem on an unbounded polyhedron," Other publications TiSEM 82992276-1868-4b56-a937-0, Tilburg University, School of Economics and Management.
    4. Geanakoplos, J. & Polemarchakis, H., 1985. "Existence,regularity, and constrained suboptimality of competitive allocations when the asset market is incomplete," LIDAM Discussion Papers CORE 1985037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. P. Herings & Felix Kubler, 2007. "Approximate CAPM When Preferences are CRRA," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 13-31, February.
    6. Hirsch, M. D. & Magill, M. & Mas-Colell, A., 1990. "A geometric approach to a class of equilibrium existence theorems," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 95-106.
    7. A. J. J. Talman & Y. Yamamoto, 1989. "A Simplicial Algorithm for Stationary Point Problems on Polytopes," Mathematics of Operations Research, INFORMS, vol. 14(3), pages 383-399, August.
    8. P. Jean-Jacques Herings & Felix Kubler, 2002. "Computing Equilibria in Finance Economies," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 637-646, November.
    9. Herings, P.J.J. & Kubler, F., 2000. "Computing equilibria in finance economies," Research Memorandum 022, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    10. P. Herings & Felix Kubler, 2007. "Approximate CAPM When Preferences are CRRA," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 13-31, February.
    11. Yang Dai & Dolf Talman, 1993. "Linear Stationary Point Problems on Unbounded Polyhedra," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 635-644, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zoran Popovic & Marko Backovic, 2017. "Sequential Model of Economic System and Constrained Pareto Optimality," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 13(1), pages 141-158.
    2. Nasreen Nawaz, 2021. "Efficiency on the dynamic adjustment path in a financial market," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 45(1), pages 49-74, January.
    3. Jacco Thijssen, 2008. "A computational study on general equilibrium pricing of derivative securities," Annals of Finance, Springer, vol. 4(4), pages 505-523, October.
    4. Ahmed, Muhammad Ashfaq & Nawaz, Nasreen, 2023. "Adam Smith's Perfectly Competitive Market is Not Pareto Efficient: A Dynamic Perspective," MPRA Paper 118362, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    2. Talman, A.J.J., 1990. "General equilibrium programming," Other publications TiSEM b2dccd7c-f4e9-4e3c-9f67-f, Tilburg University, School of Economics and Management.
    3. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "A Fixed Point Theorem for Discontinuous Functions," Tinbergen Institute Discussion Papers 05-004/1, Tinbergen Institute.
    4. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Discussion Paper 1999-72, Tilburg University, Center for Economic Research.
    5. Dolf Talman & Zaifu Yang, 2012. "On a Parameterized System of Nonlinear Equations with Economic Applications," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 644-671, August.
    6. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Perfection and Stability of Stationary Points with Applications in Noncooperative Games," Discussion Paper 2002-108, Tilburg University, Center for Economic Research.
    7. Bernhard von Stengel & Antoon van den Elzen & Dolf Talman, 2002. "Computing Normal Form Perfect Equilibria for Extensive Two-Person Games," Econometrica, Econometric Society, vol. 70(2), pages 693-715, March.
    8. Talman, A.J.J. & Yang, Z.F., 2003. "On the Connectedness of Coincidences and Zero Points of Mappings," Discussion Paper 2003-73, Tilburg University, Center for Economic Research.
    9. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    10. Clemens J M Kool & Tom Van Veen & Bertrand Chandelon & Katharina Raabe, 2005. "The Feasibility of a Fixed Exchange Rate Regime for New EU-members Evidence from Real Exchange Rates," Money Macro and Finance (MMF) Research Group Conference 2005 20, Money Macro and Finance Research Group.
    11. de Ruyter, J.C. & Wetzels, M.G.M., 2000. "The role of corporate image and extension similarity in service brand extensions," Research Memorandum 035, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    12. Talman, A.J.J. & Yamamoto, M., 2001. "Contiuum of Zero Points of a Mapping on a Compact Convex Set," Other publications TiSEM 57411440-5b14-448e-8c27-3, Tilburg University, School of Economics and Management.
    13. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Other publications TiSEM 06a4e5b2-f380-4d5b-a96f-8, Tilburg University, School of Economics and Management.
    14. Dai, Y. & Talman, D., 1990. "Linear Stationary Point Problems On Unbounded Polyhedra," Papers 9067, Tilburg - Center for Economic Research.
    15. Jacco Thijssen, 2008. "A computational study on general equilibrium pricing of derivative securities," Annals of Finance, Springer, vol. 4(4), pages 505-523, October.
    16. Esteban-Bravo, Mercedes, 2004. "An interior point algorithm for computing equilibria in economies with incomplete asset markets," DEE - Working Papers. Business Economics. WB wb046023, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    17. P. Herings & Felix Kubler, 2007. "Approximate CAPM When Preferences are CRRA," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 13-31, February.
    18. Lionel DE BOISDEFFRE, 2015. "Existence of financial equilibrium with differential information: the no-arbitrage characterization," Working Papers 2015-2016_5, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Nov 2015.
    19. Dimitrios Tsomocos, 2003. "Equilibrium analysis, banking, contagion and financial fragility," FMG Discussion Papers dp450, Financial Markets Group.
    20. Bernard Dumas & Andrew Lyasoff, 2012. "Incomplete-Market Equilibria Solved Recursively on an Event Tree," Journal of Finance, American Finance Association, vol. 67(5), pages 1897-1941, October.

    More about this item

    Keywords

    general equilibrium; incomplete markets; prices; financial markets;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiucen:45e45888-e926-476c-a66b-797d2225cf49. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: http://center.uvt.nl .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.